WDW CPers, correct me of I'm wrong (I did the
Disneyland CP)
But it doesn't matter how many days your child requests of while in the program, or for how long.
Scheduling mainly takes place online, so if your child wants days off, you simply put it in using the HUB, a cast member-only website. It keeps the process paperless and keeps lots of people out of scheduling offices.
Put your request in ASAP. This is important. Schedules are made weeks in advance, and the sooner they know, the more likely you are to get a day off.
The beauty of the CP is that you automatically get 3-4 years company seniority, which makes your hours high and have a higher chance of getting the days off.
When I was in the CP, about once a month I would request 3 consecutive days off. Never once was I denied, even fourth of July weekend.
Don't worry about your child looking like a slacker. Disney cares more about call outs and inappropriate work attitude than asking for days off.